|
Geometry / Mr. Hansen |
Name: _________________________ |
Solutions to Selected Review Problems
|
p.265, #9 |
1. sAB @ sCD |
1. Given |
|
|
2. sAG @ sBE |
2. " |
|
|
3. sAG || sBE |
3. " |
|
|
4. sBC @ sBC |
4. Refl. |
|
|
5. sAC @ sBD |
5. Add. Prop. for Segs. |
|
|
6. ÐA @ ÐEBD |
6. Corresp. Ðs |
|
|
7. DGAC @ DEBD |
7. SAS (5, 6, 2) |
|
|
8. ÐGCA @ ÐEDB |
8. CPCTC |
|
|
9. sGC || sED |
9. Corresp. Ðs @ Þ || |
|
p.267, #24 |
1. P midpt. of sRO |
1. Given |
|
|
2. K midpt. of sJM |
2. " |
|
|
3. Ð1 @ Ð2 |
3. " |
|
|
4. sPS @ sKS |
4. " |
|
|
5. ÐJSK @ ÐOSP |
5. Vert Ð s |
|
|
6. ÐSKJ supp. Ð1, |
6. Diagram, def. supp. |
|
|
7. ÐSKJ @ ÐSPO |
7. Supps. of @ Ð s are @ |
|
|
8. DSKJ @ DSPO |
8. ASA (steps 5, 4, 7) |
|
|
9. ÐKJS @ ÐPOS |
9. CPCTC |
|
|
10. sRO || sJM |
10. Alt. int. Ðs @ Þ || |
|
11. sJK @ sOP |
11. CPCTC |
|
|
12. sJM @ sOR |
12. Mult. Prop. (steps 1, 2) |
|
|
13. sJO @ sJO |
13. Refl. |
|
|
14. ÐOJM @ ÐJOR |
14. Alt. int. Ðs |
|
|
15. D OJM @ D JOR |
15. SAS (steps 13, 14, 12) |
|
|
16. ÐM @ ÐR |
16. CPCTC |
|
|
17. sRJ || sOM |
17. Alt. int. Ðs @ Þ || |
|
|
18. RJMO is a parallelogram |
18. Def. parallelogram (steps 10, 17) |